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math.AT2022
Star clusters in the Matching, Morse, and Generalized Morse complex
Connor Donovan, Nicholas A. Scoville
In this paper, we determine the homotopy type of the Morse complex and matching complex of multiple families of complexes by utilizing star cluster collapses and the Cluster Lemma.…
math.AT2016★ 2 cited
Cosheaf Theoretical Constructions in Networks and Persistent Homology
Nicholas A. Scoville, Karthik Yegnesh
Persistent homology has recently emerged as a powerful technique in topological data analysis for analyzing the emergence and disappearance of topological features throughout a fil…